Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/727, 9912/6928 quickly i.e. 9912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/727, 9912/6928 is 9912.
LCM(56/727, 9912/6928) = 9912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/727,9912/6928
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 56,9912
Least Common Multiple of Numerators i.e. LCM of 56,9912 is 9912.
GCF of Denominators means GCF of 727,6928 as per the given fractions.
GCF of 727,6928 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,9912
2 | 56, 9912 |
2 | 28, 4956 |
2 | 14, 2478 |
7 | 7, 1239 |
1, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 177 = 9912
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 56,9912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,9912) = 56
common factors(in case of two or more numbers have common factors) = 1
GCF(56,9912) x common factors =56 x 1 = 56
LCM(56,9912) = ( 56 × 9912 ) / 56
LCM(56,9912) = 555072 / 56
LCM(56,9912) = 9912
Lets's calculate GCF of 727,6928
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9912/1
Therefore the LCM of Fractions 56/727,9912/6928 is 9912
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 6928
List of positive integer factors of 6928 that divides 6928 without a remainder.
1,2,4,8,16,433,866,1732,3464,6928
Greatest Common Factor
We found the factors 727,6928 . The biggest common factor number is the GCF number.
So the greatest common factor 727,6928 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 56/727, 9912/6928?
Answer: LCM of Numerators as per given numbers 56/727, 9912/6928 is
LCM of Numerators i.e. for 56,9912 is 9912
GCF of denominators i.e. for 727,6928 is 1.
Thus, LCM of Fractions is 9912.Finally, LCM of Fractions for 56/727, 9912/6928 is 9912.